Multiplier+2A

= = =**1. Topic**= = = Multiplier

=2. Notes=

Multiplier - A quantity by which another number is multiplied. For Example In the problem below when

= = =3. Fx-4= Problem A) Explain how to get any amount at the end of any year from the year above it.Solution

SolutionA) You would multiply the past amount by 8% than once you do that the amount must then added to the amount already shown. original amount= 100$ Percent of Increase= .08 100(.08)=8$ 100$+8$= 108$ Problem B) Represent the amount of money in your account after two, three, and four years using powers of 1.08

Solution B)  1st Year 100(1.08)=amount of money 108$= amount of money    2nd Year 100(1.08)=amount of money   116.64$=amount of money   3rd Year 100(1.08)=amount of money   125.97$=amount of money   4th Year 100(1.08)=amount of money    136.04$=amount of money  C) Original Investment=1000$  Interest= 8% 20th Year 1000(1.08)=amount of money 4660.95=amount of money = = FX-35 initial value- 126,000 time- 5 years initial value- .35 time- 30 years initial value- 11,000 time- 6 years initial value- $1.79 time- minus ten years or ten years
 * a)** multiplier- .96
 * b)**multiplier- 1.10
 * c)**multiplier- .85
 * d)**multiplier- 1.07 or .93

The number by which you multiply in order to increase something by a given percentage in one step is called the **multiplier.** The **initial value** of a sequence is the first term of the sequence.
 * Notes:**

=Fx-18= Problem: When a radioactive isotope undergoes decay, it does so at a fixed rate. The time it takes for half of it to decay is called the "half–life. " For example, if a substance has a half–life of ten years, and you start with 100 grams of it, after ten years you will have only 50 grams. In another ten years, half of that 50 grams will decay, and so on. a) Make a table of values like the one shown. b) Extend the table for values up to 60 years. c) Sketch a graph to represent this situation. d) How much will be left after 25 years? e) When will this isotope disappear completely? f) Explain why you think most states will not allow radioactive materials to be dumped inside their borders.


 * a + b**

12.5 + 6.25 = 18.75 Answer: 18.75 Dividing by 2 is like multiplying by 1/2 So the equation for this is: 100 - 1/2^x x represents the the ammount of years.
 * c:** 
 * d:** 1/2 x 12.5 = 6.25
 * Notes:** Every 10 years the ammount left gets divided by 2